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Finding the Fourth Proportional to 8,969.29, 13,454.03 and 2,396.41

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Solution

The fourth proportional to 8,969.29, 13,454.03 and 2,396.41 is: 3,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.29 : 13,454.03 = 2,396.41 : x
  2. Step 2: Convert to fraction form
    8,969.29/13,454.03 = 2,396.41/x
  3. Step 3: Cross multiply
    8,969.29x = 13,454.03 × 2,396.41
  4. Step 4: Simplify right side
    8,969.29x = 32,241,372.03
  5. Step 5: Solve for x
    x = 32,241,372.03/8,969.29
  6. Step 6: Final answer
    x = 3,594.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.